Finite Group Databasebeta

← #33978716

Subgroups — #33978716

Order 18688.

2238 conjugacy classes of subgroups.

The subgroup lattice has 1928 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623703C211yesmaximal, characteristic, complemented
2#22623536C211yesmaximal, characteristic, complemented
3#22622970C211yesmaximal, characteristic, complemented
4#22622968C211yesmaximal, characteristic, complemented
5#22622639C211yesmaximal, characteristic, complemented
6#22622633C211yesmaximal, characteristic, complemented
7#22622074C211yesmaximal, characteristic, complemented
8#22622072C211yesmaximal, characteristic, complemented
9#22622067C211yesmaximal, characteristic, complemented
10#22622065C211yesmaximal, characteristic, complemented
11#22621750C211yesmaximal, characteristic, complemented
12#22621748C211yesmaximal, characteristic, complemented
13D8×C22⋊D73C211yesmaximal, characteristic, complemented
14#22621601C211yesmaximal, characteristic, complemented
15#22621414C211yesmaximal, characteristic, complemented
16#22621412C211yesmaximal, characteristic, complemented
17#22621405C211yesmaximal, characteristic, complemented
18#22621308C211yesmaximal, characteristic, complemented
19#22621254C211yesmaximal, characteristic, complemented
20#22621252C211yesmaximal, characteristic, complemented
21#22620952C211yesmaximal, characteristic, complemented
22#22620945C211yesmaximal, characteristic, complemented
23#22620847C211yesmaximal, characteristic, complemented
24#22620020C211yesmaximal, characteristic, complemented
25#22620017C211yesmaximal, characteristic, complemented
26#22619984C211yesmaximal, characteristic, complemented
27#22619409C211yesmaximal, characteristic, complemented
28C2×#17988780C211yesmaximal, characteristic, complemented
29#459×D73C211yesmaximal, characteristic, complemented
30#22619051C211yesmaximal, characteristic, complemented
31C73×#3264C211yesmaximal, characteristic, complemented
32C2×#14556636—21no—
33C2×#14556616C2211yescharacteristic, complemented
34C22×#11924013C2211yescharacteristic, complemented
35C2×D8×D73C2211yescharacteristic, complemented
36C2×D8×D73C2211yescharacteristic, complemented
37#17989319C2211yescharacteristic, complemented
38#17989296C2211yescharacteristic, complemented
39#17989295C2211yescharacteristic, complemented
40#17989284C2211yescharacteristic, complemented
41#17989283C2211yescharacteristic, complemented
42#17989280—21no—
43#17989263—21no—
44#17989260—21no—
45#17989258C2211yescharacteristic, complemented
46#17989257C2211yescharacteristic, complemented
47#17989255—21no—
48#17989225C2211yescharacteristic, complemented
49#17989224—21no—
50D4×D292C2211yescharacteristic, complemented
51#17989221C2211yescharacteristic
52#17989221C2211yescharacteristic, complemented
53D4×C22⋊D73—21no—
54D4×C22⋊D73C2211yescharacteristic
55D4×C22⋊D73C2211yescharacteristic, complemented
56D4×C22⋊D73C2211yescharacteristic, complemented
57#17989219—21no—
58#17989219—21no—
59#17989153—21no—
60#17989152—21no—
61#17989152—21no—
62#17989134C2211yescharacteristic, complemented
63#17989132C2211yescharacteristic, complemented
64#17989132C2211yescharacteristic, complemented
65#17989132C2211yescharacteristic, complemented
66C2×#14556587C2211yescharacteristic, complemented
67C2×#14556587C2211yescharacteristic, complemented
68#127×D73C2211yescharacteristic, complemented
69#17989123C2211yescharacteristic, complemented
70#17989116C2211yescharacteristic, complemented
71#17989114—21no—
72#17989097—21no—
73#17989093—21no—
74#41×Dic73C2211yescharacteristic, complemented
75C4×#11924027C2211yescharacteristic
76C2×D4×Dic73C2211yescharacteristic, complemented
77C2×#14556551—21no—
78C4×D4×D73C2211yescharacteristic, complemented
79#17988977C2211yescharacteristic, complemented
80#17988973C2211yescharacteristic, complemented
81#17988973C2211yescharacteristic, complemented
82#17988962C2211yescharacteristic, complemented
83#17988962C2211yescharacteristic, complemented
84#17988952C2211yescharacteristic, complemented
85#17988951C2211yescharacteristic, complemented
86#17988950C2211yescharacteristic, complemented
87#17988950C2211yescharacteristic, complemented
88#17988932C2211yescharacteristic, complemented
89#17988932C2211yescharacteristic, complemented
90#17988912C2211yescharacteristic, complemented
91#17988908C2211yescharacteristic, complemented
92#17988907C2211yescharacteristic, complemented
93#17988906C2211yescharacteristic, complemented
94#17988904C2211yescharacteristic, complemented
95#17988903C2211yescharacteristic, complemented
96#17988888C2211yescharacteristic, complemented
97#17988887C2211yescharacteristic, complemented
98#17988886C2211yescharacteristic, complemented
99#17988885C2211yescharacteristic, complemented
100#17988880C2211yescharacteristic, complemented
101#17988876C2211yescharacteristic, complemented
102#17988876C2211yescharacteristic, complemented
103#17988875C2211yescharacteristic, complemented
104#17988875C2211yescharacteristic, complemented
105#17988875C2211yescharacteristic, complemented
106#17988840C2211yescharacteristic, complemented
107#17988838C2211yescharacteristic, complemented
108#17988838C2211yescharacteristic, complemented
109#17988823C2211yescharacteristic, complemented
110#17988822C2211yescharacteristic, complemented
111#17988821C2211yescharacteristic, complemented
112#17988820C2211yescharacteristic, complemented
113#17988819C2211yescharacteristic, complemented
114#17988818C2211yescharacteristic, complemented
115#17988813C2211yescharacteristic, complemented
116#17988805C2211yescharacteristic, complemented
117#17988804C2211yescharacteristic, complemented
118#17988799C2211yescharacteristic, complemented
119#17988785C2211yescharacteristic, complemented
120#17988785C2211yescharacteristic, complemented
121#17988785C2211yescharacteristic, complemented
122#17988785C2211yescharacteristic, complemented
123#17988785C2211yescharacteristic, complemented
124#17988783C2211yescharacteristic, complemented
125#17988782C2211yescharacteristic, complemented
126#17988781C2211yescharacteristic, complemented
127#17988781C2211yescharacteristic, complemented
128#17988781C2211yescharacteristic, complemented
129#17988781C2211yescharacteristic, complemented
130#17988780C2211yescharacteristic, complemented
131#17988780C2211yescharacteristic, complemented
132#17988780C2211yescharacteristic, complemented
133#17988780C2211yescharacteristic, complemented
134#17988780C2211yescharacteristic, complemented
135#17988780C2211yescharacteristic, complemented
136#17988780C2211yescharacteristic, complemented
137#17988780C2211yescharacteristic, complemented
138#17988780C2211yescharacteristic, complemented
139#17988780C2211yescharacteristic, complemented
140#17988780C2211yescharacteristic, complemented
141#17988780C2211yescharacteristic, complemented
142#17988780C2211yescharacteristic, complemented
143#17988779C2211yescharacteristic, complemented
144#17988737C2211yescharacteristic, complemented
145#17988736C2211yescharacteristic, complemented
146#17988736C2211yescharacteristic, complemented
147#17988732C2211yescharacteristic, complemented
148#17988723C2211yescharacteristic, complemented
149#17988723C2211yescharacteristic, complemented
150#17988722C2211yescharacteristic, complemented
151#17988721C2211yescharacteristic, complemented
152#17988721C2211yescharacteristic, complemented
153#17988721C2211yescharacteristic, complemented
154#17988720C2211yescharacteristic, complemented
155#17988719C2211yescharacteristic, complemented
156#17988719C2211yescharacteristic, complemented
157#17988719C2211yescharacteristic, complemented
158#17988716C2211yescharacteristic, complemented
159#17988715C2211yescharacteristic, complemented
160#17988700C2211yescharacteristic, complemented
161#17988699C2211yescharacteristic, complemented
162#17988699C2211yescharacteristic, complemented
163#17988697C2211yescharacteristic, complemented
164#17988697C2211yescharacteristic, complemented
165#17988696C2211yescharacteristic, complemented
166#17988696C2211yescharacteristic, complemented
167SD16×Dic73C2211yescharacteristic, complemented
168#17988672C2211yescharacteristic, complemented
169D8×Dic73C2211yescharacteristic, complemented
170#17988667C2211yescharacteristic, complemented
171#17988661C2211yescharacteristic, complemented
172#17988659C2211yescharacteristic, complemented
173#17988656C2211yescharacteristic, complemented
174C8×C22⋊D73C2211yescharacteristic, complemented
175#17988650C2211yescharacteristic, complemented
176#17988642C2211yescharacteristic, complemented
177#17988641C2211yescharacteristic, complemented
178#17988637C2211yescharacteristic, complemented
179#17988610C2211yescharacteristic, complemented
180C2×#14556520C2211yescharacteristic, complemented
181C4⋊C8×D73C2211yescharacteristic, complemented
182#17988593C2211yescharacteristic, complemented
183#17988592C2211yescharacteristic, complemented
184C2×#14556513C2211yescharacteristic, complemented
185C2×#14556512C2211yescharacteristic, complemented
186#102×D73C2211yescharacteristic, complemented
187#102×D73C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C73C2211yescharacteristic, complemented
189C22×D8×C73C2211yescharacteristic, complemented
190#546×C73C2211yescharacteristic, complemented
191D42×C73C2211yescharacteristic, complemented
192#496×C73C2211yescharacteristic, complemented
193#469×C73C2211yescharacteristic, complemented
194#465×C73C2211yescharacteristic, complemented
195#463×C73C2211yescharacteristic, complemented
196#459×C73C2211yescharacteristic, complemented
197#450×C73C2211yescharacteristic, complemented
198#449×C73C2211yescharacteristic, complemented
199#447×C73C2211yescharacteristic, complemented
200#447×C73C2211yescharacteristic, complemented
201#442×C73C2211yescharacteristic, complemented
202#435×C73C2211yescharacteristic, complemented
203#14556636—48no—
204C2×#11924028—21no—
205C2×#11924028—21no—
206C2×#11924027—21no—
207C2×#11924027—21no—
208C2×#11924027—21no—
209C2×#11924027—21no—
210C2×#11924027D411yescharacteristic
211C22×D292C2311yescharacteristic
212C22×D292C2311yescharacteristic
213C22×C22⋊D73—21no—
214C22×C22⋊D73—21no—
215C22×C22⋊D73—21no—
216C22×C22⋊D73—21no—
217C22×C22⋊D73—21no—
218C22×C22⋊D73—21no—
219C22×C22⋊D73—21no—
220C2×D4×D73—21no—
221C2×D4×D73—21no—
222C2×D4×D73—21no—
223C2×D4×D73—21no—
224C2×D4×D73—21no—
225C2×D4×D73C2311yescharacteristic
226C2×D4×D73C2311yescharacteristic
227C2×D4×D73C2311yescharacteristic
228C23×Dic73—21no—
229C22×C4×D73—21no—
230#14556616—42no—
231C2×#11924015C2311yescharacteristic
232C2×#11924015C2311yescharacteristic
233C2×#11924015C2311yescharacteristic
234C2×D584C2311yescharacteristic
235C2×D584C2311yescharacteristic
236C2×D584C2311yescharacteristic
237C2×#11924013—42no—
238C2×#11924013C2311yescharacteristic
239C2×#11924013C2311yescharacteristic
240C2×#11924013C2311yescharacteristic
241C2×#11924013C2311yescharacteristic
242C2×#11924013C2311yescharacteristic
243C2×#11924013C2311yescharacteristic
244C2×#11924013C2311yescharacteristic
245C2×#11924013C2311yescharacteristic
246C2×#11924013C2311yescharacteristic
247D8×D73—42no—
248D8×D73—42no—
249C2×#11924012C2311yescharacteristic
250C22×#10596831C2311yescharacteristic
251C2×C8×D73C2311yescharacteristic
252C2×C8×D73C2311yescharacteristic
253#14556590C2311yescharacteristic
254#14556590C2311yescharacteristic
255#14556588C2311yescharacteristic
256#14556587—21no—
257#14556587—21no—
258#14556587—21no—
259#14556587—21no—
260#14556587—21no—
261#14556587—21no—
262#14556587C2311yescharacteristic
263#14556587C2311yescharacteristic
264#14556587C2311yescharacteristic
265#14556587C2311yescharacteristic
266#14556587C2311yescharacteristic
267#14556587C2311yescharacteristic
268#14556587C2311yescharacteristic
269#14556587C2311yescharacteristic
270#14556586—21no—
271#14556586—21no—
272#14556584—21no—
273#14556584—21no—
274#14556583C2311yescharacteristic
275#14556582C2311yescharacteristic
276#14556581—21no—
277#14556580C2311yescharacteristic
278#14556577—21no—
279#14556577—21no—
280#14556577—21no—
281#14556577—21no—
282#14556577—21no—
283#14556575—21no—
284#14556575—21no—
285#14556574—21no—
286#14556573—21no—
287#14556573—21no—
288#14556573—21no—
289#14556572—21no—
290#14556571—21no—
291#14556570—21no—
292#14556568—21no—
293#14556568—21no—
294#14556568—21no—
295#14556567C2311yescharacteristic
296#14556566—21no—
297#14556566C2311yescharacteristic
298#14556565—21no—
299#14556565C2311yescharacteristic
300#14556565C2311yescharacteristic
301#14556565C2311yescharacteristic
302#14556565C2311yescharacteristic
303#14556564—21no—
304#14556564—21no—
305#14556564—21no—
306#14556564—21no—
307#14556564—21no—
308#14556563—21no—
309#14556563—21no—
310#14556563—21no—
311#14556563—21no—
312#14556563—21no—
313#14556563—21no—
314#14556563—21no—
315#14556563—21no—
316#14556563—21no—
317#14556563—21no—
318#14556562—21no—
319#14556562—21no—
320#14556562C2311yescharacteristic
321#14556562C2311yescharacteristic
322#14556561—21no—
323#14556561—21no—
324#14556561—21no—
325#14556561—21no—
326#14556560—21no—
327#14556560—21no—
328#14556560—21no—
329#14556559—21no—
330#14556559—21no—
331#14556559—21no—
332#14556559—21no—
333#14556559—21no—
334#14556559—21no—
335Q8×Dic73C2311yescharacteristic
336Q8×Dic73C2311yescharacteristic
337C4×Dic146C2311yescharacteristic
338#14556556D411yescharacteristic
339C4×D292C2311yescharacteristic
340C4×D292C2311yescharacteristic
341D4×Dic73—21no—
342D4×Dic73—21no—
343D4×Dic73—21no—
344D4×Dic73—21no—
345D4×Dic73D411yescharacteristic
346D4×Dic73C2311yescharacteristic
347D4×Dic73C2311yescharacteristic
348D4×Dic73C2311yescharacteristic
349D4×Dic73C2311yescharacteristic
350D4×Dic73C2311yescharacteristic
351D4×Dic73C2311yescharacteristic
352D4×Dic73C2311yescharacteristic
353#14556553C2311yescharacteristic
354#14556553C2311yescharacteristic
355#14556553C2311yescharacteristic
356C4×C22⋊D73—21no—
357C4×C22⋊D73—21no—
358C4×C22⋊D73C2311yescharacteristic
359C4×C22⋊D73C2311yescharacteristic
360#14556551—21no—
361#14556551—21no—
362#14556551—21no—
363#14556551—21no—
364#14556551—21no—
365#14556551—21no—
366#14556551—21no—
367#14556551—21no—
368#14556551—21no—
369#14556551—21no—
370#14556551D411yescharacteristic
371#14556551D411yescharacteristic
372#14556550—21no—
373#14556550C2311yescharacteristic
374#14556549—21no—
375#14556549D411yescharacteristic
376#14556547—21no—
377#14556547D411yescharacteristic
378#14556547D411yescharacteristic
379C2×C4⋊Dic73C2311yescharacteristic
380C2×#11924007—21no—
381C4⋊C4×D73C2311yescharacteristic
382C2×C22⋊Dic73—21no—
383C2×#11924005—21no—
384C22⋊C4×D73—21no—
385C2×C4×Dic73—21no—
386C2×C4×Dic73C2311yescharacteristic
387C2×C4×Dic73C2311yescharacteristic
388C42×D73C2311yescharacteristic
389#14556525C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556523C2311yescharacteristic
392#14556523C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395#14556522C2311yescharacteristic
396C4⋊#10596831C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556520C2311yescharacteristic
405#14556515C2311yescharacteristic
406#14556513C2311yescharacteristic
407#14556513C2311yescharacteristic
408#14556513C2311yescharacteristic
409#14556513C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431C22⋊#10596831C2311yescharacteristic
432C22⋊#10596831C2311yescharacteristic
433#14556503C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556502C2311yescharacteristic
436#14556501C2311yescharacteristic
437#14556501C2311yescharacteristic
438C8×Dic73C2311yescharacteristic
439C8×Dic73C2311yescharacteristic
440C2×#41×C73C2311yescharacteristic
441C22×D4×C73—21no—
442C22×D4×C73C2311yescharacteristic
443C22×D4×C73C2311yescharacteristic
444C22×D4×C73C2311yescharacteristic
445AGL(1,ℤ/8)×C73—42no—
446C2×SD16×C73C2311yescharacteristic
447C2×SD16×C73C2311yescharacteristic
448C2×SD16×C73C2311yescharacteristic
449C2×D8×C73—42no—
450C2×D8×C73C2311yescharacteristic
451C2×D8×C73C2311yescharacteristic
452C2×D8×C73C2311yescharacteristic
453C2×D8×C73C2311yescharacteristic
454C2×D8×C73C2311yescharacteristic
455C2×D8×C73C2311yescharacteristic
456C2×M16×C73C2311yescharacteristic
457C22×C8×C73C2311yescharacteristic
458#127×C73C2311yescharacteristic
459#124×C73C2311yescharacteristic
460#123×C73—21no—
461C22⋊Q8×C73C2311yescharacteristic
462#121×C73—21no—
463#121×C73—21no—
464#121×C73C2311yescharacteristic
465#121×C73C2311yescharacteristic
466#121×C73C2311yescharacteristic
467#120×C73—21no—
468#120×C73—21no—
469#120×C73—21no—
470C4×D4×C73C2311yescharacteristic
471C4×D4×C73C2311yescharacteristic
472C4×D4×C73C2311yescharacteristic
473C2×C22⋊C4×C73—21no—
474#106×C73C2311yescharacteristic
475C4⋊C8×C73C2311yescharacteristic
476#103×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481#102×C73C2311yescharacteristic
482C22⋊C8×C73C2311yescharacteristic
483C22⋊C8×C73C2311yescharacteristic
484#97×C73C2311yescharacteristic
485C23×D73—21no—
486C23×D73—21no—
487C23×D73—21no—
488C23×D73—21no—
489C23×D73—21no—
490#11924028—44no—
491#11924028—44no—
492#11924027—24no—
493#11924027—44no—
494#11924027—44no—
495#11924027—44no—
496#11924027—82no—
497C2×Dic146—21no—
498C2×Dic146—21no—
499C2×Dic146C2×D411yescharacteristic
500C2×D292—21no—
501C2×D292—21no—
502C2×D292—21no—
503C2×D292—21no—
504C2×D292—21no—
505C2×D292—41no—
506C2×D292—41no—
507C2×D292—41no—
508C2×D292—41no—
509C2×D292C2411yescharacteristic
510C2×D292C2411yescharacteristic
511C2×D292C2411yescharacteristic
512C2×D292C2411yescharacteristic
513C2×C22⋊D73—21no—
514C2×C22⋊D73—21no—
515C2×C22⋊D73—21no—
516C2×C22⋊D73—21no—
517C2×C22⋊D73—21no—
518C2×C22⋊D73—21no—
519C2×C22⋊D73—21no—
520C2×C22⋊D73—21no—
521C2×C22⋊D73—21no—
522C2×C22⋊D73—21no—
523C2×C22⋊D73—21no—
524C2×C22⋊D73—21no—
525C2×C22⋊D73—21no—
526C2×C22⋊D73—21no—
527C2×C22⋊D73—21no—
528C2×C22⋊D73—21no—
529C2×C22⋊D73—21no—
530C2×C22⋊D73—21no—
531C2×C22⋊D73—21no—
532C2×C22⋊D73—21no—
533C2×C22⋊D73—21no—
534C2×C22⋊D73—21no—
535C2×C22⋊D73—21no—
536C2×C22⋊D73—21no—
537C2×C22⋊D73—21no—
538C2×C22⋊D73—44no—
539C2×C22⋊D73—44no—
540C2×C22⋊D73—44no—
541C2×C22⋊D73—44no—
542C2×C22⋊D73—44no—
543C2×C22⋊D73—82no—
544C2×C22⋊D73—82no—
545C2×C22⋊D73C2×D411yescharacteristic
546C2×C22⋊D73C2×D411yescharacteristic
547D4×D73—22no—
548D4×D73—41no—
549D4×D73—41no—
550D4×D73—41no—
551D4×D73—41no—
552D4×D73—41no—
553D4×D73—44no—
554D4×D73—44no—
555D4×D73—44no—
556D4×D73—44no—
557D4×D73—82no—
558C22×Dic73—21no—
559C22×Dic73—21no—
560C22×Dic73—21no—
561C22×Dic73—21no—
562C22×Dic73—21no—
563C22×Dic73—21no—
564C22×Dic73—21no—
565C22×Dic73—21no—
566C22×Dic73—82no—
567C22×Dic73C2×D411yescharacteristic
568C22×Dic73C2×D411yescharacteristic
569C22×Dic73C2×D411yescharacteristic
570C22×Dic73C2×D411yescharacteristic
571C2×C4×D73—21no—
572C2×C4×D73—21no—
573C2×C4×D73—21no—
574C2×C4×D73—21no—
575C2×C4×D73—21no—
576C2×C4×D73—21no—
577C2×C4×D73—82no—
578C2×C4×D73C2×D411yescharacteristic
579C2×C4×D73C2×D411yescharacteristic
580C2×C4×D73C2411yescharacteristic
581#11924015—41no—
582#11924015—41no—
583#11924015—41no—
584D584—41no—
585D584—41no—
586D584—41no—
587#11924013—22no—
588#11924013—22no—
589#11924013—22no—
590#11924013—41no—
591#11924013—41no—
592#11924013—41no—
593#11924013—41no—
594#11924013—41no—
595#11924013—41no—
596#11924012—41no—
597C2×#10596831—41no—
598C2×#10596831C2411yescharacteristic
599C2×#10596831C2411yescharacteristic
600C2×#10596831C2411yescharacteristic
601C2×#10596831C2411yescharacteristic
602C8×D73—41no—
603C8×D73—41no—
604C4⋊Dic73—21no—
605C4⋊Dic73—21no—
606C4⋊Dic73—21no—
607C4⋊Dic73—21no—
608C4⋊Dic73C2×D411yescharacteristic
609C4⋊Dic73C2411yescharacteristic
610C4⋊Dic73C2411yescharacteristic
611C4⋊Dic73C2411yescharacteristic
612C4⋊Dic73C2411yescharacteristic
613#11924007—21no—
614#11924007—21no—
615#11924007—21no—
616#11924007—21no—
617#11924007—21no—
618#11924007—21no—
619#11924007—21no—
620#11924007C2×D411yescharacteristic
621#11924007C2×D411yescharacteristic
622#11924007C2×D411yescharacteristic
623#11924007C2×D411yescharacteristic
624C22⋊Dic73—21no—
625C22⋊Dic73—21no—
626C22⋊Dic73—21no—
627C22⋊Dic73—21no—
628C22⋊Dic73—21no—
629C22⋊Dic73—21no—
630C22⋊Dic73—21no—
631C22⋊Dic73—21no—
632C22⋊Dic73—21no—
633C22⋊Dic73—21no—
634C22⋊Dic73C2×D411yescharacteristic
635C22⋊Dic73C2×D411yescharacteristic
636#11924005—21no—
637#11924005—21no—
638#11924005—21no—
639#11924005—21no—
640#11924005—21no—
641#11924005—21no—
642#11924005—21no—
643#11924005—21no—
644#11924005—21no—
645#11924005—21no—
646#11924005—21no—
647#11924005—21no—
648#11924005—21no—
649#11924005C2×D411yescharacteristic
650#11924005C2×D411yescharacteristic
651C4×Dic73—21no—
652C4×Dic73—21no—
653C4×Dic73—21no—
654C4×Dic73C2×D411yescharacteristic
655C4×Dic73C2×D411yescharacteristic
656C4×Dic73C2×D411yescharacteristic
657C4×Dic73C2×D411yescharacteristic
658C4×Dic73C2×D411yescharacteristic
659C4×Dic73C2×D411yescharacteristic
660C4×Dic73C2411yescharacteristic
661C4×Dic73C2411yescharacteristic
662C4×Dic73C2411yescharacteristic
663C24×C73—21no—
664C24×C73—21no—
665C24×C73—21no—
666#41×C73—22no—
667#41×C73—41no—
668C2×Q8×C73C2411yescharacteristic
669C2×D4×C73—22no—
670C2×D4×C73—21no—
671C2×D4×C73—21no—
672C2×D4×C73—21no—
673C2×D4×C73—21no—
674C2×D4×C73—21no—
675C2×D4×C73—21no—
676C2×D4×C73—21no—
677C2×D4×C73—21no—
678C2×D4×C73—21no—
679C2×D4×C73—41no—
680C2×D4×C73—41no—
681C2×D4×C73—41no—
682C2×D4×C73—41no—
683C2×D4×C73—41no—
684C2×D4×C73—44no—
685C2×D4×C73C2×D411yescharacteristic
686C2×D4×C73C2411yescharacteristic
687C2×D4×C73C2411yescharacteristic
688C2×D4×C73C2411yescharacteristic
689C2×D4×C73C2411yescharacteristic
690C2×D4×C73C2411yescharacteristic
691C22×C4×C73—21no—
692C22×C4×C73—21no—
693C22×C4×C73—21no—
694C22×C4×C73C2411yescharacteristic
695C22×C4×C73C2411yescharacteristic
696SD16×C73—41no—
697SD16×C73—41no—
698SD16×C73—41no—
699D8×C73—22no—
700D8×C73—22no—
701D8×C73—22no—
702D8×C73—41no—
703D8×C73—41no—
704D8×C73—41no—
705M16×C73—41no—
706C2×C8×C73—41no—
707C2×C8×C73C2411yescharacteristic
708C2×C8×C73C2411yescharacteristic
709C2×C8×C73C2411yescharacteristic
710C2×C8×C73C2411yescharacteristic
711C4⋊C4×C73—21no—
712C4⋊C4×C73C2×D411yescharacteristic
713C4⋊C4×C73C2411yescharacteristic
714C4⋊C4×C73C2411yescharacteristic
715C22⋊C4×C73—21no—
716C22⋊C4×C73—21no—
717C22⋊C4×C73—21no—
718C22⋊C4×C73—21no—
719C22⋊C4×C73—21no—
720C22⋊C4×C73—21no—
721C22⋊C4×C73—21no—
722C22⋊C4×C73—21no—
723C22⋊C4×C73C2×D411yescharacteristic
724C22⋊C4×C73C2×D411yescharacteristic
725C42×C73C2411yescharacteristic
726C23×C73—21no—
727C23×C73—21no—
728C23×C73—21no—
729C23×C73—21no—
730C23×C73—21no—
731C23×C73—42no—
732C23×C73—42no—
733C23×C73—42no—
734C23×C73—42no—
735C23×C73—81no—
736C23×C73—81no—
737C23×C73—81no—
738C23×C73—81no—
739C23×C73—81no—
740C23×C73C22×D411yescharacteristic
741C23×C73C22×D411yescharacteristic
742C22×D73—21no—
743C22×D73—21no—
744C22×D73—21no—
745C22×D73—21no—
746C22×D73—42no—
747C22×D73—42no—
748C22×D73—42no—
749C22×D73—42no—
750C22×D73—42no—
751C22×D73—42no—
752C22×D73—81no—
753C22×D73—81no—
754C22×D73—81no—
755C22×D73—81no—
756C22×D73—81no—
757C22×D73—81no—
758C22×D73—81no—
759C22×D73—81no—
760C22×D73—81no—
761C22×D73C22×D411yescharacteristic
762Q8×C73—21no—
763Q8×C73—21no—
764D4×C73—22no—
765D4×C73—21no—
766D4×C73—21no—
767D4×C73—21no—
768D4×C73—21no—
769D4×C73—21no—
770D4×C73—21no—
771D4×C73—21no—
772D4×C73—21no—
773D4×C73—21no—
774D4×C73—42no—
775D4×C73—42no—
776D4×C73—42no—
777D4×C73—42no—
778D4×C73—42no—
779D4×C73—81no—
780D4×C73—81no—
781D4×C73—81no—
782D4×C73—81no—
783D4×C73H(5,𝔽2)12yescomplemented
784C2×C4×C73—21no—
785C2×C4×C73—21no—
786C2×C4×C73—21no—
787C2×C4×C73—21no—
788C2×C4×C73—21no—
789C2×C4×C73—21no—
790C2×C4×C73—21no—
791C2×C4×C73—42no—
792C2×C4×C73—42no—
793C2×C4×C73—81no—
794C2×C4×C73C22×D411yescharacteristic
795C2×C4×C73C22×D411yescharacteristic
796C2×C4×C73C22×D411yescharacteristic
797C2×C4×C73C22×D411yescharacteristic
798C2×C4×C73C2511yescharacteristic
799C22⋊D73—22no—
800C22⋊D73—42no—
801C22⋊D73—42no—
802C22⋊D73—42no—
803C22⋊D73—42no—
804C22⋊D73—42no—
805C22⋊D73—42no—
806C22⋊D73—42no—
807C22⋊D73—42no—
808C22⋊D73—42no—
809C22⋊D73—42no—
810C22⋊D73—42no—
811C22⋊D73—42no—
812C22⋊D73—42no—
813C22⋊D73—42no—
814C22⋊D73—42no—
815C22⋊D73—42no—
816C22⋊D73—42no—
817C22⋊D73—81no—
818C22⋊D73—81no—
819C22⋊D73—81no—
820C22⋊D73—81no—
821C22⋊D73—81no—
822C22⋊D73—81no—
823C22⋊D73—81no—
824C22⋊D73—81no—
825C22⋊D73AGL(1,ℤ/8)14yescomplemented
826C2×Dic73—22no—
827C2×Dic73—22no—
828C2×Dic73—22no—
829C2×Dic73—22no—
830C2×Dic73—21no—
831C2×Dic73—21no—
832C2×Dic73—21no—
833C2×Dic73—21no—
834C2×Dic73—42no—
835C2×Dic73—42no—
836C2×Dic73—42no—
837C2×Dic73—42no—
838C2×Dic73—42no—
839C2×Dic73—81no—
840C2×Dic73—81no—
841C2×Dic73—81no—
842C2×Dic73C22×D411yescharacteristic
843C2×Dic73C22×D411yescharacteristic
844C2×Dic73C22×D411yescharacteristic
845C2×Dic73C22×D411yescharacteristic
846C2×Dic73C22×D411yescharacteristic
847C2×Dic73C22×D411yescharacteristic
848C2×Dic73C22×D411yescharacteristic
849D292—21no—
850D292—21no—
851D292—21no—
852D292—21no—
853D292—21no—
854D292—21no—
855D292—21no—
856D292—21no—
857D292—42no—
858D292—42no—
859D292—81no—
860D292—81no—
861D292—81no—
862C4×D73—22no—
863C4×D73—21no—
864C4×D73—21no—
865C4×D73—22no—
866C4×D73—42no—
867C4×D73—42no—
868C4×D73—42no—
869C4×D73—42no—
870C4×D73—81no—
871C4×D73—81no—
872Dic146—22no—
873Dic146—42no—
874Dic146—81no—
875C8×C73—21no—
876C8×C73—21no—
877C8×C73—21no—
878C8×C73—21no—
879#10596831—21no—
880#10596831—21no—
881#10596831—21no—
882#10596831—21no—
883C22×C73—21no—
884C22×C73—21no—
885C22×C73—22no—
886C22×C73—21no—
887C22×C73—21no—
888C22×C73—21no—
889C22×C73—41no—
890C22×C73—41no—
891C22×C73—41no—
892C22×C73—41no—
893C22×C73—41no—
894C22×C73—41no—
895C22×C73—41no—
896C22×C73—41no—
897C22×C73—41no—
898C22×C73—41no—
899C22×C73—41no—
900C22×C73—41no—
901C22×C73—41no—
902C22×C73—41no—
903C22×C73—84no—
904C22×C73—162no—
905C22×C73—162no—
906C22×C73C2×AGL(1,ℤ/8)12yes—
907C22×C73C23×D411yescharacteristic
908C2×D73—21no—
909C2×D73—21no—
910C2×D73—41no—
911C2×D73—41no—
912C2×D73—41no—
913C2×D73—41no—
914C2×D73—41no—
915C2×D73—41no—
916C2×D73—41no—
917C2×D73—41no—
918C2×D73—41no—
919C2×D73—41no—
920C2×D73—41no—
921C2×D73—41no—
922C2×D73—84no—
923C2×D73—162no—
924C2×D73—162no—
925C2×D73—162no—
926C2×D73—162no—
927C2×D73C2×AGL(1,ℤ/8)12yes—
928C4×C73—21no—
929C4×C73—21no—
930C4×C73—21no—
931C4×C73—21no—
932C4×C73—41no—
933C4×C73—41no—
934C4×C73—41no—
935C4×C73C2×H(5,𝔽2)11yescharacteristic
936C4×C73#58511yescharacteristic
937Dic73—21no—
938Dic73—21no—
939Dic73—21no—
940Dic73—21no—
941Dic73—21no—
942Dic73—41no—
943Dic73—41no—
944Dic73—41no—
945Dic73—41no—
946Dic73C2×AGL(1,ℤ/8)12yes—
947Dic73#57612yes—
948#61979—731nomaximal, Sylow
949C2×C73—22no—
950C2×C73—42no—
951C2×C73—41no—
952C2×C73—81no—
953C2×C73—81no—
954C2×C73—81no—
955C2×C73—81no—
956C2×C73#348811yescharacteristic
957C2×C73C22×AGL(1,ℤ/8)11yescharacteristic
958C2×C73C2×#57611yescharacteristic
959D73—22no—
960D73—81no—
961D73—81no—
962D73—81no—
963D73—81no—
964#3498—731no—
965#3481—731no—
966#3399—731no—
967#3399—731no—
968#3366—731no—
969#3366—731no—
970#3318—731no—
971#3318—731no—
972#3318—731no—
973#3318—731no—
974#3295—731no—
975#3295—731no—
976D4×D8—731no—
977D4×D8—731no—
978#3264—731no—
979#3264—731no—
980#3264—731no—
981#3264D7311yescharacteristic, complemented
982#3253—731no—
983#3247—731no—
984#3247—731no—
985#3217—731no—
986#3217—731no—
987#3205—731no—
988#3109—731no—
989#3109—731no—
990#3106—731no—
991#3038—731no—
992C2×#459—731no—
993C2×#459—731no—
994#2990—731no—
995C73#6197911yescharacteristic, complemented, Sylow
996C2×H(5,𝔽2)—1461no—
997C2×AGL(1,ℤ/8)—731no—
998C2×AGL(1,ℤ/8)C2×D7311yescharacteristic, complemented
999C22×D8—731no—
1000C22×D8—731no—
1001C22×D8—731no—
1002C22×D8C2×D7311yescharacteristic, complemented
1003#559—731no—
1004#554—731no—
1005#554—731no—
1006#553—731no—
1007#553—731no—
1008#553—1461no—
1009#551—1461no—
1010#551—1461no—
1011#550—731no—
1012#550—731no—
1013#550—1461no—
1014#546—731no—
1015#546—1461no—
1016#546C2×D7311yescharacteristic, complemented
1017D42—731no—
1018D42—731no—
1019D42—731no—
1020D42—731no—
1021D42—731no—
1022D42—731no—
1023D42—1461no—
1024D42—1461no—
1025D42—1461no—
1026D42C2×D7311yescharacteristic, complemented
1027#535—1461no—
1028#535—1461no—
1029#535—1461no—
1030#532—731no—
1031#532—731no—
1032#532—731no—
1033#532—731no—
1034C2×#127—731no—
1035C2×#127—731no—
1036C2×#127—731no—
1037#529—731no—
1038#529—731no—
1039#529—1461no—
1040#525—1461no—
1041#525—1461no—
1042C4×#41—731no—
1043C4×#41—731no—
1044C2×C4×D4—731no—
1045C2×C4×D4—731no—
1046C2×C4×D4—1461no—
1047#496—731no—
1048#496—731no—
1049#496—731no—
1050#496C2×D7311yescharacteristic, complemented
1051#493—731no—
1052#493—731no—
1053#490—731no—
1054#490—731no—
1055#490—731no—
1056#490—731no—
1057#486—731no—
1058#486—731no—
1059#482—731no—
1060#482—731no—
1061#481—731no—
1062#481—731no—
1063#481—731no—
1064#481—731no—
1065#478—731no—
1066#478—731no—
1067#478—731no—
1068#478—731no—
1069#477—731no—
1070#476—731no—
1071#476—731no—
1072#476—731no—
1073#476—731no—
1074#476—731no—
1075#469—731no—
1076#469—731no—
1077#469—731no—
1078#469C2×D7311yescharacteristic, complemented
1079#466—731no—
1080#466—731no—
1081#466—731no—
1082#466—731no—
1083#465—731no—
1084#465—731no—
1085#465—731no—
1086#465C2×D7311yescharacteristic, complemented
1087#463—731no—
1088#463—731no—
1089#463—731no—
1090#463C2×D7311yescharacteristic, complemented
1091#460—731no—
1092#460—731no—
1093#460—731no—
1094#460—731no—
1095#460—731no—
1096#459—731no—
1097#459—731no—
1098#459—731no—
1099#459—731no—
1100#459—731no—
1101#459—731no—
1102#459—731no—
1103#459—731no—
1104#459—731no—
1105#459—731no—
1106#459—731no—
1107#459—731no—
1108#459—731no—
1109#459—731no—
1110#459—731no—
1111#459—731no—
1112#459—731no—
1113#459—731no—
1114#459—731no—
1115#459—731no—
1116#459C2×D7311yescharacteristic, complemented
1117#450—731no—
1118#450—731no—
1119#450—731no—
1120#450C2×D7311yescharacteristic, complemented
1121#449—731no—
1122#449C2×D7311yescharacteristic, complemented
1123#447—731no—
1124#447—731no—
1125#447—731no—
1126#447—731no—
1127#447—731no—
1128#447—731no—
1129#447—731no—
1130#447—731no—
1131#447—731no—
1132#447—731no—
1133#447C2×D7311yescharacteristic, complemented
1134#447C2×D7311yescharacteristic, complemented
1135#446—731no—
1136#446—731no—
1137#442—731no—
1138#442—731no—
1139#442—731no—
1140#442—731no—
1141#442—731no—
1142#442—731no—
1143#442—731no—
1144#442C2×D7311yescharacteristic, complemented
1145C4×SD16—731no—
1146C4×SD16—731no—
1147C4×D8—731no—
1148C4×D8—731no—
1149#435—731no—
1150#435—731no—
1151#435—731no—
1152#435C2×D7311yescharacteristic, complemented
1153C8×D4—731no—
1154C8×D4—731no—
1155#432—731no—
1156#432—731no—
1157#431—731no—
1158#423—731no—
1159C2×C4⋊C8—731no—
1160C2×C4⋊C8—731no—
1161#418—731no—
1162#418—731no—
1163C2×#102—731no—
1164C2×#102—731no—
1165C2×#102—731no—
1166C2×#102—731no—
1167H(5,𝔽2)—2928no—
1168C2×#41—731no—
1169C2×#41—1461no—
1170C2×#41—1461no—
1171C2×#41—1461no—
1172C2×#41—1461no—
1173C2×#41—1461no—
1174C2×#41—1461no—
1175C2×#41C22×D7311yescharacteristic
1176C22×D4—21no—
1177C22×D4—731no—
1178C22×D4—731no—
1179C22×D4—731no—
1180C22×D4—731no—
1181C22×D4—731no—
1182C22×D4—1461no—
1183C22×D4—1461no—
1184C22×D4—1461no—
1185C22×D4—1461no—
1186C22×D4—1461no—
1187C22×D4—1461no—
1188C22×D4—1461no—
1189C22×D4—1461no—
1190C22×D4—1461no—
1191C22×D4—1461no—
1192C22×D4—1461no—
1193C22×D4—1461no—
1194C22×D4C22×D7311yescharacteristic
1195C22×D4C22×D7311yescharacteristic
1196C22×D4C22×D7311yescharacteristic
1197C23×C4—1461no—
1198C23×C4—1461no—
1199AGL(1,ℤ/8)—42no—
1200AGL(1,ℤ/8)—2922no—
1201C2×SD16—731no—
1202C2×SD16—731no—
1203C2×SD16—731no—
1204C2×SD16C22×D7311yescharacteristic
1205C2×SD16C22×D7311yescharacteristic
1206C2×SD16C22×D7311yescharacteristic
1207C2×D8—42no—
1208C2×D8—2922no—
1209C2×D8—2922no—
1210C2×D8—2922no—
1211C2×D8—731no—
1212C2×D8—731no—
1213C2×D8—731no—
1214C2×D8—731no—
1215C2×D8—731no—
1216C2×D8—731no—
1217C2×D8—731no—
1218C2×D8—731no—
1219C2×D8—731no—
1220C2×D8—731no—
1221C2×D8—731no—
1222C2×D8—731no—
1223C2×D8C22×D7311yescharacteristic
1224C2×D8C22×D7311yescharacteristic
1225C2×D8C22×D7311yescharacteristic
1226C2×D8C22×D7311yescharacteristic
1227C2×D8C22×D7311yescharacteristic
1228C2×D8C22×D7311yescharacteristic
1229C2×M16—731no—
1230C2×M16C22×D7311yescharacteristic
1231C22×C8—731no—
1232C22×C8—731no—
1233C22×C8—731no—
1234C22×C8C22×D7311yescharacteristic
1235C4⋊Q8—731no—
1236C4⋊Q8—731no—
1237#127—731no—
1238#127—731no—
1239#127—731no—
1240#127—731no—
1241#127—731no—
1242#127—731no—
1243#127—731no—
1244#127—731no—
1245#127—731no—
1246#127—1461no—
1247#127—1461no—
1248#127—1461no—
1249#127—1461no—
1250#127—1461no—
1251#127—1461no—
1252#127C22×D7311yescharacteristic
1253#126—1461no—
1254#126—1461no—
1255#126—1461no—
1256#126—1461no—
1257#125—731no—
1258#125—731no—
1259#125—1461no—
1260#124—731no—
1261#124—1461no—
1262#124—1461no—
1263#124—1461no—
1264#124—1461no—
1265#124—1461no—
1266#124C22×D7311yescharacteristic
1267#123—21no—
1268#123—1461no—
1269#123—1461no—
1270#123—1461no—
1271#123—1461no—
1272#123—1461no—
1273#123—1461no—
1274#123—1461no—
1275C22⋊Q8—731no—
1276C22⋊Q8—1461no—
1277C22⋊Q8—1461no—
1278C22⋊Q8—1461no—
1279C22⋊Q8—1461no—
1280C22⋊Q8—1461no—
1281C22⋊Q8C22×D7311yescharacteristic
1282#121—21no—
1283#121—21no—
1284#121—731no—
1285#121—731no—
1286#121—731no—
1287#121—731no—
1288#121—731no—
1289#121—731no—
1290#121—731no—
1291#121—1461no—
1292#121—1461no—
1293#121—1461no—
1294#121—1461no—
1295#121—1461no—
1296#121—1461no—
1297#121—1461no—
1298#121—1461no—
1299#121—1461no—
1300#121—1461no—
1301#121—1461no—
1302#121—1461no—
1303#121—1461no—
1304#121—1461no—
1305#121—1461no—
1306#121—1461no—
1307#121—1461no—
1308#121—1461no—
1309#121—1461no—
1310#121C22×D7311yescharacteristic
1311#121C22×D7311yescharacteristic
1312#121C22×D7311yescharacteristic
1313#120—21no—
1314#120—21no—
1315#120—21no—
1316#120—1461no—
1317#120—1461no—
1318#120—1461no—
1319#120—1461no—
1320#120—1461no—
1321#120—1461no—
1322#120—1461no—
1323#120—1461no—
1324#120—1461no—
1325#120—1461no—
1326#120—1461no—
1327#120—1461no—
1328#120—1461no—
1329C4×Q8—731no—
1330C4×Q8—731no—
1331C4×Q8—731no—
1332C4×Q8—731no—
1333C4×D4—731no—
1334C4×D4—731no—
1335C4×D4—731no—
1336C4×D4—731no—
1337C4×D4—731no—
1338C4×D4—731no—
1339C4×D4—731no—
1340C4×D4—731no—
1341C4×D4—731no—
1342C4×D4—731no—
1343C4×D4—731no—
1344C4×D4—731no—
1345C4×D4—731no—
1346C4×D4—731no—
1347C4×D4—731no—
1348C4×D4—731no—
1349C4×D4—731no—
1350C4×D4—1461no—
1351C4×D4—1461no—
1352C4×D4—1461no—
1353C4×D4—1461no—
1354C4×D4—1461no—
1355C4×D4—1461no—
1356C4×D4—1461no—
1357C4×D4—1461no—
1358C4×D4—1461no—
1359C4×D4—1461no—
1360C4×D4—1461no—
1361C4×D4—1461no—
1362C4×D4—1461no—
1363C4×D4—1461no—
1364C4×D4—1461no—
1365C4×D4—1461no—
1366C4×D4C22×D7311yescharacteristic
1367C4×D4C22×D7311yescharacteristic
1368C4×D4C22×D7311yescharacteristic
1369#117—731no—
1370#117—731no—
1371#117—731no—
1372#117—731no—
1373#117—1461no—
1374#117—1461no—
1375#117—1461no—
1376C2×C4⋊C4—731no—
1377C2×C4⋊C4—731no—
1378C2×C4⋊C4—1461no—
1379C2×C22⋊C4—21no—
1380C2×C22⋊C4—1461no—
1381C2×C22⋊C4—1461no—
1382C2×C22⋊C4—1461no—
1383C2×C42—731no—
1384C2×C42—731no—
1385C2×C42—731no—
1386C2×C42—1461no—
1387#107—731no—
1388#107—731no—
1389#106—731no—
1390#106—731no—
1391#106—731no—
1392#106—731no—
1393#106—731no—
1394#106C22×D7311yescharacteristic
1395C4⋊C8—731no—
1396C4⋊C8—731no—
1397C4⋊C8—731no—
1398C4⋊C8—731no—
1399C4⋊C8—731no—
1400C4⋊C8—731no—
1401C4⋊C8—731no—
1402C4⋊C8—731no—
1403C4⋊C8—731no—
1404C4⋊C8C22×D7311yescharacteristic
1405#103—731no—
1406#103C22×D7311yescharacteristic
1407#102—731no—
1408#102—731no—
1409#102—731no—
1410#102—731no—
1411#102—731no—
1412#102—731no—
1413#102—731no—
1414#102—731no—
1415#102—731no—
1416#102—731no—
1417#102—731no—
1418#102—731no—
1419#102—731no—
1420#102—731no—
1421#102—731no—
1422#102—731no—
1423#102—731no—
1424#102—731no—
1425#102—731no—
1426#102—731no—
1427#102—731no—
1428#102—731no—
1429#102—731no—
1430#102—731no—
1431#102—731no—
1432#102C22×D7311yescharacteristic
1433#102C22×D7311yescharacteristic
1434#102C22×D7311yescharacteristic
1435#102C22×D7311yescharacteristic
1436#102C22×D7311yescharacteristic
1437C22⋊C8—731no—
1438C22⋊C8—731no—
1439C22⋊C8—731no—
1440C22⋊C8—731no—
1441C22⋊C8C22×D7311yescharacteristic
1442C22⋊C8C22×D7311yescharacteristic
1443#97—731no—
1444#97—731no—
1445#97—731no—
1446#97C22×D7311yescharacteristic
1447C4×C8—731no—
1448C4×C8—731no—
1449C24—21no—
1450C24—21no—
1451C24—21no—
1452C24—1461no—
1453C24—1461no—
1454C24—1461no—
1455C24—1461no—
1456C24—1461no—
1457#41—22no—
1458#41—41no—
1459#41—2924no—
1460#41—2924no—
1461#41—2924no—
1462#41—2924no—
1463#41—2924no—
1464#41—5842no—
1465#41—1464no—
1466C2×Q8—731no—
1467C2×Q8—1461no—
1468C2×Q8—1461no—
1469C2×Q8C23×D7311yescharacteristic
1470C2×D4—22no—
1471C2×D4—21no—
1472C2×D4—21no—
1473C2×D4—21no—
1474C2×D4—21no—
1475C2×D4—21no—
1476C2×D4—21no—
1477C2×D4—21no—
1478C2×D4—21no—
1479C2×D4—21no—
1480C2×D4—41no—
1481C2×D4—41no—
1482C2×D4—41no—
1483C2×D4—41no—
1484C2×D4—41no—
1485C2×D4—44no—
1486C2×D4—2921no—
1487C2×D4—2921no—
1488C2×D4—2921no—
1489C2×D4—2921no—
1490C2×D4—2924no—
1491C2×D4—2924no—
1492C2×D4—2924no—
1493C2×D4—2924no—
1494C2×D4—2924no—
1495C2×D4—2924no—
1496C2×D4—2921no—
1497C2×D4—2921no—
1498C2×D4—2921no—
1499C2×D4—2921no—
1500C2×D4—2921no—
1501C2×D4—2924no—
1502C2×D4—2924no—
1503C2×D4—2924no—
1504C2×D4—5842no—
1505C2×D4—5842no—
1506C2×D4—5842no—
1507C2×D4—731no—
1508C2×D4—731no—
1509C2×D4—731no—
1510C2×D4—731no—
1511C2×D4—731no—
1512C2×D4—731no—
1513C2×D4—1461no—
1514C2×D4—1461no—
1515C2×D4—1461no—
1516C2×D4—1461no—
1517C2×D4—1461no—
1518C2×D4—1461no—
1519C2×D4—1461no—
1520C2×D4—1461no—
1521C2×D4—1461no—
1522C2×D4—1461no—
1523C2×D4—1461no—
1524C2×D4—1461no—
1525C2×D4—1461no—
1526C2×D4—1461no—
1527C2×D4—1461no—
1528C2×D4—1461no—
1529C2×D4—1461no—
1530C2×D4—1461no—
1531C2×D4—1461no—
1532C2×D4—1461no—
1533C2×D4—1461no—
1534C2×D4—1461no—
1535C2×D4—1461no—
1536C2×D4—1461no—
1537C2×D4—1461no—
1538C2×D4—1462no—
1539C2×D4—1461no—
1540C2×D4—1461no—
1541C2×D4—1461no—
1542C2×D4—1461no—
1543C2×D4—1461no—
1544C2×D4D4×D7311yescharacteristic
1545C2×D4C23×D7311yescharacteristic
1546C2×D4C23×D7311yescharacteristic
1547C2×D4C23×D7311yescharacteristic
1548C2×D4C23×D7311yescharacteristic
1549C2×D4C23×D7311yescharacteristic
1550C22×C4—21no—
1551C22×C4—21no—
1552C22×C4—21no—
1553C22×C4—5842no—
1554C22×C4—5842no—
1555C22×C4—731no—
1556C22×C4—731no—
1557C22×C4—731no—
1558C22×C4—731no—
1559C22×C4—731no—
1560C22×C4—731no—
1561C22×C4—731no—
1562C22×C4—1461no—
1563C22×C4—1461no—
1564C22×C4—1461no—
1565C22×C4—1461no—
1566C22×C4—1461no—
1567C22×C4—1461no—
1568C22×C4—1461no—
1569C22×C4—1461no—
1570C22×C4—1461no—
1571C22×C4—1461no—
1572C22×C4—1461no—
1573C22×C4—1461no—
1574C22×C4—1461no—
1575C22×C4—1461no—
1576C22×C4C23×D7311yescharacteristic
1577C22×C4C23×D7311yescharacteristic
1578SD16—41no—
1579SD16—41no—
1580SD16—41no—
1581SD16—2921no—
1582SD16—2921no—
1583SD16—2921no—
1584D8—22no—
1585D8—22no—
1586D8—22no—
1587D8—41no—
1588D8—41no—
1589D8—41no—
1590D8—2921no—
1591D8—2921no—
1592D8—2921no—
1593D8—2921no—
1594D8—2921no—
1595D8—2921no—
1596D8—2921no—
1597D8—2921no—
1598D8—2921no—
1599D8—1462no—
1600D8—1462no—
1601D8—1462no—
1602M16—41no—
1603M16—2921no—
1604C2×C8—41no—
1605C2×C8—2921no—
1606C2×C8—2921no—
1607C2×C8—2921no—
1608C2×C8—731no—
1609C2×C8—731no—
1610C2×C8—731no—
1611C2×C8—731no—
1612C2×C8C23×D7311yescharacteristic
1613C2×C8C23×D7311yescharacteristic
1614C2×C8C23×D7311yescharacteristic
1615C2×C8C23×D7311yescharacteristic
1616C4⋊C4—21no—
1617C4⋊C4—731no—
1618C4⋊C4—731no—
1619C4⋊C4—731no—
1620C4⋊C4—731no—
1621C4⋊C4—731no—
1622C4⋊C4—731no—
1623C4⋊C4—731no—
1624C4⋊C4—731no—
1625C4⋊C4—731no—
1626C4⋊C4—1461no—
1627C4⋊C4—1461no—
1628C4⋊C4—1461no—
1629C4⋊C4—1461no—
1630C4⋊C4—1461no—
1631C4⋊C4—1461no—
1632C4⋊C4—1461no—
1633C4⋊C4—1461no—
1634C4⋊C4—1461no—
1635C4⋊C4—1461no—
1636C4⋊C4—1461no—
1637C4⋊C4D4×D7311yescharacteristic
1638C4⋊C4C23×D7311yescharacteristic
1639C4⋊C4C23×D7311yescharacteristic
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—21no—
1645C22⋊C4—21no—
1646C22⋊C4—21no—
1647C22⋊C4—21no—
1648C22⋊C4—731no—
1649C22⋊C4—731no—
1650C22⋊C4—731no—
1651C22⋊C4—731no—
1652C22⋊C4—1461no—
1653C22⋊C4—1461no—
1654C22⋊C4—1461no—
1655C22⋊C4—1461no—
1656C22⋊C4—1461no—
1657C22⋊C4—1461no—
1658C22⋊C4—1461no—
1659C22⋊C4—1461no—
1660C22⋊C4—1461no—
1661C22⋊C4—1461no—
1662C22⋊C4—1461no—
1663C22⋊C4—1461no—
1664C22⋊C4—1461no—
1665C22⋊C4—1461no—
1666C22⋊C4—1461no—
1667C22⋊C4—1461no—
1668C22⋊C4—1461no—
1669C22⋊C4—1461no—
1670C22⋊C4—1461no—
1671C22⋊C4—1461no—
1672C22⋊C4—1461no—
1673C22⋊C4—1461no—
1674C22⋊C4—1461no—
1675C22⋊C4D4×D7311yescharacteristic
1676C22⋊C4D4×D7311yescharacteristic
1677C42—731no—
1678C42—731no—
1679C42—731no—
1680C42—731no—
1681C42—731no—
1682C42—731no—
1683C42—731no—
1684C42—731no—
1685C42—731no—
1686C42—1461no—
1687C42—1461no—
1688C42—1461no—
1689C42C23×D7311yescharacteristic
1690C23—21no—
1691C23—21no—
1692C23—21no—
1693C23—21no—
1694C23—21no—
1695C23—42no—
1696C23—42no—
1697C23—42no—
1698C23—42no—
1699C23—81no—
1700C23—81no—
1701C23—81no—
1702C23—81no—
1703C23—81no—
1704C23—2922no—
1705C23—2922no—
1706C23—2922no—
1707C23—2922no—
1708C23—2922no—
1709C23—2922no—
1710C23—5841no—
1711C23—5841no—
1712C23—5841no—
1713C23—5841no—
1714C23—5841no—
1715C23—5841no—
1716C23—5841no—
1717C23—5841no—
1718C23—5841no—
1719C23—731no—
1720C23—1461no—
1721C23—1461no—
1722C23—1461no—
1723C23—1461no—
1724C23C2×D4×D7311yescharacteristic
1725C23C2×D4×D7311yescharacteristic
1726Q8—21no—
1727Q8—21no—
1728Q8—2922no—
1729Q8—5841no—
1730Q8—1462no—
1731D4—22no—
1732D4—21no—
1733D4—21no—
1734D4—21no—
1735D4—21no—
1736D4—21no—
1737D4—21no—
1738D4—21no—
1739D4—21no—
1740D4—21no—
1741D4—42no—
1742D4—42no—
1743D4—42no—
1744D4—42no—
1745D4—42no—
1746D4—81no—
1747D4—81no—
1748D4—81no—
1749D4—81no—
1750D4—2922no—
1751D4—2922no—
1752D4—2922no—
1753D4—2922no—
1754D4—2922no—
1755D4—2922no—
1756D4—2922no—
1757D4—2922no—
1758D4—2922no—
1759D4—2922no—
1760D4—2922no—
1761D4—2922no—
1762D4—2922no—
1763D4—2922no—
1764D4—2922no—
1765D4—2922no—
1766D4—2922no—
1767D4—2922no—
1768D4—2922no—
1769D4—5841no—
1770D4—5841no—
1771D4—5841no—
1772D4—5841no—
1773D4—5841no—
1774D4—5841no—
1775D4—5841no—
1776D4—5841no—
1777D4—5841no—
1778D4—5841no—
1779D4—5841no—
1780D4—734no—
1781D4—1462no—
1782D4—1461no—
1783D4—1461no—
1784D4—1461no—
1785D4—1461no—
1786D4—1461no—
1787D4—1461no—
1788D4—1461no—
1789D4—1461no—
1790D4#1455663612yescomplemented
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—42no—
1799C2×C4—42no—
1800C2×C4—81no—
1801C2×C4—2922no—
1802C2×C4—2922no—
1803C2×C4—2922no—
1804C2×C4—2922no—
1805C2×C4—2922no—
1806C2×C4—2922no—
1807C2×C4—2922no—
1808C2×C4—2922no—
1809C2×C4—2922no—
1810C2×C4—5841no—
1811C2×C4—5841no—
1812C2×C4—5841no—
1813C2×C4—5841no—
1814C2×C4—5841no—
1815C2×C4—731no—
1816C2×C4—731no—
1817C2×C4—731no—
1818C2×C4—731no—
1819C2×C4—731no—
1820C2×C4—731no—
1821C2×C4—731no—
1822C2×C4—1462no—
1823C2×C4—1462no—
1824C2×C4—1461no—
1825C2×C4—1461no—
1826C2×C4—1461no—
1827C2×C4—1461no—
1828C2×C4—1462no—
1829C2×C4—1462no—
1830C2×C4—1462no—
1831C2×C4—1462no—
1832C2×C4—1461no—
1833C2×C4—1461no—
1834C2×C4C2×D4×D7311yescharacteristic
1835C2×C4C2×D4×D7311yescharacteristic
1836C2×C4C2×D4×D7311yescharacteristic
1837C2×C4C2×D4×D7311yescharacteristic
1838C2×C4C24×D7311yescharacteristic
1839C8—21no—
1840C8—21no—
1841C8—21no—
1842C8—21no—
1843C8—1461no—
1844C8—1461no—
1845C8—1461no—
1846C8—1461no—
1847C22—21no—
1848C22—21no—
1849C22—21no—
1850C22—22no—
1851C22—21no—
1852C22—21no—
1853C22—41no—
1854C22—41no—
1855C22—41no—
1856C22—41no—
1857C22—41no—
1858C22—41no—
1859C22—41no—
1860C22—41no—
1861C22—41no—
1862C22—41no—
1863C22—41no—
1864C22—41no—
1865C22—41no—
1866C22—41no—
1867C22—84no—
1868C22—162no—
1869C22—162no—
1870C22—2921no—
1871C22—2921no—
1872C22—2921no—
1873C22—2921no—
1874C22—2921no—
1875C22—2921no—
1876C22—2921no—
1877C22—2921no—
1878C22—2921no—
1879C22—2921no—
1880C22—2921no—
1881C22—2921no—
1882C22—5844no—
1883C22—732no—
1884C22—11682no—
1885C22—11682no—
1886C22—11682no—
1887C22—11682no—
1888C22—1461no—
1889C22—1461no—
1890C22AGL(1,ℤ/8)×D7312yes—
1891C22C22×D4×D7311yescharacteristic
1892C4—21no—
1893C4—21no—
1894C4—21no—
1895C4—21no—
1896C4—41no—
1897C4—41no—
1898C4—41no—
1899C4—2921no—
1900C4—2921no—
1901C4—2921no—
1902C4—2921no—
1903C4—732no—
1904C4—732no—
1905C4—1461no—
1906C4—1461no—
1907C4—1461no—
1908C4—1461no—
1909C4—1461no—
1910C4C2×#1455663611yescharacteristic
1911C4#1798942211yescharacteristic
1912C2—22no—
1913C2—41no—
1914C2—42no—
1915C2—81no—
1916C2—81no—
1917C2—81no—
1918C2—81no—
1919C2—5841no—
1920C2—5841no—
1921C2—5841no—
1922C2—5841no—
1923C2—1462no—
1924C2#2262359111yescharacteristic
1925C2C2×AGL(1,ℤ/8)×D7311yescharacteristic
1926C2#576×D7311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3264C2
socleC22×C73C23×D4
hypercenter#3264D73
hypocenterC73#61979
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3264

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #22623703C2semidirect
2. #22623536C2semidirect
3. #22622970C2semidirect
4. #22622968C2semidirect
5. #22622639C2semidirect
6. #22622633C2semidirect
7. #22622074C2semidirect
8. #22622072C2semidirect
9. #22622067C2semidirect
10. #22622065C2semidirect
11. #22621750C2semidirect
12. #22621748C2semidirect
13. D8×C22⋊D73C2semidirect
14. #22621601C2semidirect
15. #22621414C2semidirect
16. #22621412C2semidirect
17. #22621405C2semidirect
18. #22621308C2semidirect
19. #22621254C2semidirect
20. #22621252C2semidirect
21. #22620952C2semidirect
22. #22620945C2semidirect
23. #22620847C2semidirect
24. #22620020C2semidirect
25. #22620017C2semidirect
26. #22619984C2semidirect
27. #22619409C2semidirect
28. C2×#17988780C2semidirect
29. #459×D73C2semidirect
30. #22619051C2semidirect
31. C73×#3264C2semidirect
33. C2×#14556616C22semidirect
34. C22×#11924013C22semidirect
35. C2×D8×D73C22semidirect
36. C2×D8×D73C22semidirect
37. #17989319C22semidirect
38. #17989296C22semidirect
39. #17989295C22semidirect
40. #17989284C22semidirect
41. #17989283C22semidirect
45. #17989258C22semidirect
46. #17989257C22semidirect
48. #17989225C22semidirect
50. D4×D292C22semidirect
52. #17989221C22semidirect
55. D4×C22⋊D73C22semidirect
56. D4×C22⋊D73C22semidirect
62. #17989134C22semidirect
63. #17989132C22semidirect
64. #17989132C22semidirect
65. #17989132C22semidirect
66. C2×#14556587C22semidirect
67. C2×#14556587C22semidirect
68. #127×D73C22semidirect
69. #17989123C22semidirect
70. #17989116C22semidirect
74. #41×Dic73C22semidirect
76. C2×D4×Dic73C22semidirect
78. C4×D4×D73C22semidirect
79. #17988977C22semidirect
80. #17988973C22semidirect
81. #17988973C22semidirect
82. #17988962C22semidirect
83. #17988962C22semidirect
84. #17988952C22semidirect
85. #17988951C22semidirect
86. #17988950C22semidirect
87. #17988950C22semidirect
88. #17988932C22semidirect
89. #17988932C22semidirect
90. #17988912C22semidirect
91. #17988908C22semidirect
92. #17988907C22semidirect
93. #17988906C22semidirect
94. #17988904C22semidirect
95. #17988903C22semidirect
96. #17988888C22semidirect
97. #17988887C22semidirect
98. #17988886C22semidirect
99. #17988885C22semidirect
100. #17988880C22semidirect
101. #17988876C22semidirect
102. #17988876C22semidirect
103. #17988875C22semidirect
104. #17988875C22semidirect
105. #17988875C22semidirect
106. #17988840C22semidirect
107. #17988838C22semidirect
108. #17988838C22semidirect
109. #17988823C22semidirect
110. #17988822C22semidirect
111. #17988821C22semidirect
112. #17988820C22semidirect
113. #17988819C22semidirect
114. #17988818C22semidirect
115. #17988813C22semidirect
116. #17988805C22semidirect
117. #17988804C22semidirect
118. #17988799C22semidirect
119. #17988785C22semidirect
120. #17988785C22semidirect
121. #17988785C22semidirect
122. #17988785C22semidirect
123. #17988785C22semidirect
124. #17988783C22semidirect
125. #17988782C22semidirect
126. #17988781C22semidirect
127. #17988781C22semidirect
128. #17988781C22semidirect
129. #17988781C22semidirect
130. #17988780C22semidirect
131. #17988780C22semidirect
132. #17988780C22semidirect
133. #17988780C22semidirect
134. #17988780C22semidirect
135. #17988780C22semidirect
136. #17988780C22semidirect
137. #17988780C22semidirect
138. #17988780C22semidirect
139. #17988780C22semidirect
140. #17988780C22semidirect
141. #17988780C22semidirect
142. #17988780C22semidirect
143. #17988779C22semidirect
144. #17988737C22semidirect
145. #17988736C22semidirect
146. #17988736C22semidirect
147. #17988732C22semidirect
148. #17988723C22semidirect
149. #17988723C22semidirect
150. #17988722C22semidirect
151. #17988721C22semidirect
152. #17988721C22semidirect
153. #17988721C22semidirect
154. #17988720C22semidirect
155. #17988719C22semidirect
156. #17988719C22semidirect
157. #17988719C22semidirect
158. #17988716C22semidirect
159. #17988715C22semidirect
160. #17988700C22semidirect
161. #17988699C22semidirect
162. #17988699C22semidirect
163. #17988697C22semidirect
164. #17988697C22semidirect
165. #17988696C22semidirect
166. #17988696C22semidirect
167. SD16×Dic73C22semidirect
168. #17988672C22semidirect
169. D8×Dic73C22semidirect
170. #17988667C22semidirect
171. #17988661C22semidirect
172. #17988659C22semidirect
173. #17988656C22semidirect
174. C8×C22⋊D73C22semidirect
175. #17988650C22semidirect
176. #17988642C22semidirect
177. #17988641C22semidirect
178. #17988637C22semidirect
179. #17988610C22semidirect
180. C2×#14556520C22semidirect
181. C4⋊C8×D73C22semidirect
182. #17988593C22semidirect
183. #17988592C22semidirect
184. C2×#14556513C22semidirect
185. C2×#14556512C22semidirect
186. #102×D73C22semidirect
187. #102×D73C22semidirect
188. C2×AGL(1,ℤ/8)×C73C22semidirect
189. C22×D8×C73C22semidirect
190. #546×C73C22semidirect
191. D42×C73C22semidirect
192. #496×C73C22semidirect
193. #469×C73C22semidirect
194. #465×C73C22semidirect
195. #463×C73C22semidirect
196. #459×C73C22semidirect
197. #450×C73C22semidirect
198. #449×C73C22semidirect
199. #447×C73C22semidirect
200. #447×C73C22semidirect
201. #442×C73C22semidirect
202. #435×C73C22semidirect
783. D4×C73H(5,𝔽2)semidirect
825. C22⋊D73AGL(1,ℤ/8)semidirect
981. #3264D73semidirect
995. C73#61979semidirect
998. C2×AGL(1,ℤ/8)C2×D73semidirect
1002. C22×D8C2×D73semidirect
1016. #546C2×D73semidirect
1026. D42C2×D73semidirect
1050. #496C2×D73semidirect
1078. #469C2×D73semidirect
1086. #465C2×D73semidirect
1090. #463C2×D73semidirect
1116. #459C2×D73semidirect
1120. #450C2×D73semidirect
1122. #449C2×D73semidirect
1133. #447C2×D73semidirect
1134. #447C2×D73semidirect
1144. #442C2×D73semidirect
1152. #435C2×D73semidirect
1790. D4#14556636semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#226237032
#226235362
#226229702
#226229682
#226226392
#226226332
#226220742
#226220722
#226220672
#226220652
#226217502
#226217482
D8×C22⋊D732
#226216012
#226214142
#226214122
#226214052
#226213082
#226212542
#226212522
#226209522
#226209452
#226208472
#226200202
#226200172
#226199842
#226194092
C2×#179887802
#459×D732
#226190512
C73×#32642
#6197973